A local limit theorem for directed polymers in random media : the continuous and the discrete case

Vincent Vargas

Displaying similar documents to “A local limit theorem for directed polymers in random media : the continuous and the discrete case”

Random walk on a building of type Ãr and brownian motion of the Weyl chamber

Bruno Schapira (2009)

Annales de l'I.H.P. Probabilités et statistiques

Similarity:

In this paper we study a random walk on an affine building of type , whose radial part, when suitably normalized, converges toward the brownian motion of the Weyl chamber. This gives a new discrete approximation of this process, alternative to the one of Biane ( (1991) 117–129). This extends also the link at the probabilistic level between riemannian symmetric spaces of the noncompact type and their discrete counterpart, which had been previously discovered...

Cut points and diffusive random walks in random environment

Erwin Bolthausen, Alain-Sol Sznitman, Ofer Zeitouni (2003)

Annales de l'I.H.P. Probabilités et statistiques

Similarity:

The Arcsine law as the limit of the internal DLA cluster generated by Sinai’s walk

N. Enriquez, C. Lucas, F. Simenhaus (2010)

Annales de l'I.H.P. Probabilités et statistiques

Similarity:

We identify the limit of the internal DLA cluster generated by Sinai’s walk as the law of a functional of a brownian motion which turns out to be a new interpretation of the Arcsine law.

Two-dimensional Poisson trees converge to the brownian web

P. A. Ferrari, L. R. G. Fontes, Xian-Yuan Wu (2005)

Annales de l'I.H.P. Probabilités et statistiques

Similarity:

Windings of planar random walks and averaged Dehn function

Bruno Schapira, Robert Young (2011)

Annales de l'I.H.P. Probabilités et statistiques

Similarity:

We prove sharp estimates on the expected number of windings of a simple random walk on the square or triangular lattice. This gives new lower bounds on the averaged Dehn function, which measures the expected area needed to fill a random curve with a disc.